We can now consider the self similar solutions for the tree
dyadic model, as introduced in [1]},
\(X_j(t)=\dfrac{a_j}{t-t_0}\) , defined for \(t>t_0\) , with \(t_0<0\)  and
with \((a_j)_{j\in J}\in l^2\)  such that
\({\left\lbrace \begin{array}{ll}a_{\bar{0}}=0\\a_j + c_j a_{\bar{\jmath }}^2 = \displaystyle {\sum _{k\in \mathcal {O}_{j}}c_ka_ja_k}, \qquad \forall j\in J.\end{array}\right.}\) 
